Finding the Third Proportional to 2,060.50 and 4,205

Step by Step Solution

1. Step 1: Write the proportion equation
   2,060.50 : 4,205 = 4,205 : x
2. Step 2: Convert to fraction form
   2,060.50/4,205 = 4,205/x
3. Step 3: Cross multiply
   2,060.50x = 4,205 × 4,205
4. Step 4: Simplify right side
   2,060.50x = 17,682,025
5. Step 5: Solve for x
   x = 17,682,025/2,060.50
6. Step 6: Final answer
   x = 8,581.42